Classical and Quantum Ideal Gases

Abstract

Bose and Einstein’s prediction of Bose–Einstein condensation came out of their theory for how quantum particles in a gas behaved, and was built on the pioneering statistical approach of Boltzmann for classical particles. Here we follow Boltzmann, Bose and Einstein’s footsteps, leading to the derivation of Bose–Einstein condensation for an ideal gas and its key properties.